hyperbolicCleanEqn
Fluxes and eigensystem for a hyperbolic cleaning system.
\[\begin{align}
\frac{\partial}{\partial t}\left(
\begin{array}{c}
B_{x} \\
B_{y} \\
B_{z} \\
\psi \\
\end{array}
\right) +
\nabla\cdot\left(
\begin{array}{ccc}
\psi & 0 & 0 \\
0 & \psi & 0 \\
0 & 0 & \psi \\
\gamma^{2}\,B_{x} & \gamma^{2}\,B_{y} & \gamma^{2}\,B_{z} \\
\end{array}
\right) = 0
\end{align}\]
Primary Variables (4)
- \(B_{x}\) x component of vector
- \(B_{y}\) y component of vector
- \(B_{z}\) z component of vector
- \(\psi\) correction potential
0 auxiliary variables
Auxiliary variables (0)
Parameters
gamma (double)
correction potential propagation speed.
Example
An example hyperClean equation block is given below:
<Equation hyperClean>
kind = hyperCleanEqn
gamma = 1.0
</Equation>